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A satellite in a force - free space swee...

A satellite in a force - free space sweeps stationary interplanetary dust at a rate `dM//dt = alpha v`, where `M` is the mass , `v`is the velocity of the satellite and `alpha` is a constant. What is the deacceleration of the satellite ?

A

`-2 alpha v^(2)//M`

B

`-alpha v^(2)//M`

C

`+alpha v^(2)//M`

D

`- alpha v^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(dm)/(dt) = alpha v`
Since , `F = (dp)/(dt) =v (dm)/(dt) = alpha v^(2)`
`rArr a = (- alpha v^(2))/(M)`
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